Center conditions for polynomial Liénard systems
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In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.
Is part ofQualitative Theory Of Dynamical Systems, 2017, vol. 16, p. 119-126
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Gasull, Armengol; Giné, Jaume; Valls, Claudia (Elsevier, 2017)We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems ...
Giné, Jaume; Llibre, Jaume; Valls, Claudia (Texas State University, 2019)We characterize the centers of the Chiellini Hamiltonian Li´enard second-order differential equations x 0 = y, y 0 = −f(x)y − g(x) where g(x) = f(x)(k − α(1 + α) R f(x)dx) with α, k ∈ R. Moreover we study the ...
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